Information on Result #638603
Linear OA(7106, 120, F7, 71) (dual of [120, 14, 72]-code), using concatenation of two codes based on
- linear OA(4923, 30, F49, 23) (dual of [30, 7, 24]-code or 30-arc in PG(22,49)), using
- discarding factors / shortening the dual code based on linear OA(4923, 49, F49, 23) (dual of [49, 26, 24]-code or 49-arc in PG(22,49)), using
- Reed–Solomon code RS(26,49) [i]
- discarding factors / shortening the dual code based on linear OA(4923, 49, F49, 23) (dual of [49, 26, 24]-code or 49-arc in PG(22,49)), using
- linear OA(72, 4, F7, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,7)), using
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- Reed–Solomon code RS(5,7) [i]
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(7106, 120, F7, 70) (dual of [120, 14, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(7105, 119, F7, 70) (dual of [119, 14, 71]-code) | [i] | Truncation | |
| 3 | Linear OA(7104, 118, F7, 69) (dual of [118, 14, 70]-code) | [i] | ||
| 4 | Linear OA(7103, 117, F7, 68) (dual of [117, 14, 69]-code) | [i] | ||
| 5 | Linear OA(7101, 115, F7, 66) (dual of [115, 14, 67]-code) | [i] | ||
| 6 | Linear OOA(7106, 60, F7, 2, 71) (dual of [(60, 2), 14, 72]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(7106, 40, F7, 3, 71) (dual of [(40, 3), 14, 72]-NRT-code) | [i] | ||